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Related Experiment Videos

Boundary of quantum evolution under decoherence.

Navin Khaneja1, Burkhard Luy, Steffen J Glaser

  • 1Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA. navin@hrl.harvard.edu

Proceedings of the National Academy of Sciences of the United States of America
|November 5, 2003
PubMed
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Quantum control is limited by relaxation. This study optimizes pulse sequences to maximize coherence transfer between spins in large molecules, overcoming relaxation effects for enhanced NMR spectroscopy.

Area of Science:

  • Quantum mechanics
  • Physical chemistry
  • NMR spectroscopy

Background:

  • Relaxation effects fundamentally limit coherent control in quantum systems.
  • Optimal control theory provides a framework for understanding these limitations.
  • Cross-correlated relaxation is crucial for studying large biomolecules using NMR.

Purpose of the Study:

  • To establish physical limits on steering quantum systems to target states under relaxation.
  • To compute maximum coherence/polarization transfer between coupled heteronuclear spins.
  • To develop and experimentally validate optimized pulse sequences for NMR.

Main Methods:

  • Application of optimal control theory to quantum systems with relaxation.
  • Inclusion of general decoherence mechanisms, including cross-correlated relaxation.

Related Experiment Videos

  • Analytical characterization of pulse sequences (control laws) achieving physical limits.
  • Experimental validation using coupled heteronuclear spins in large molecules.

    • Main Results:

    • Explicit computation of maximum coherence transfer limits in the presence of relaxation.
    • Analytical solutions for pulse sequences that achieve these limits.
    • Demonstration of significant gains using cross-correlated relaxation optimized pulse (CROP) sequences over existing methods.
    • Identification of conditions where coherence transfer occurs without loss, by tuning relaxation rates.

    Conclusions:

    • Optimal control theory can define and overcome relaxation-induced limitations in quantum control.
    • CROP sequences offer superior performance for coherence transfer in NMR of large biomolecules.
    • Tuning cross-correlated relaxation provides a pathway for lossless coherence transfer, even with high relaxation rates.